Question

Which points are on the graph of f(x)=(13)x

Select each correct answer.

A.(−1, −13)

B.(−2, 9)

C.(3, 27)

D.(0, 1)

Answer 1

f(x) = 13x

A) -13 = 13 * -1 (yes)
B) 9 = 13 * -2 (no)
C) 27 = 13 * 3 (no)
D) 1 = 13 * 0 (no)

So the answer is only A lays on the graph

Answer 2

A.(−1, −13) - yes

B.(−2, 9) - no

C.(3, 27) - no

D.(0, 1)- no

Explanation:

Equation :
`f(x)=(13)x`

We are supposed to find Which points are on the graph

So, the points which will satisfy the equation lies on the graph

A.(−1, −13)

x = -1

f(x)=-13

Substitute the points in graph

`f(x)=(13)x`

`-13=(13(-1))`

`-13=-13`

Since LHs = RHS

So, (−1, −13) is on the graph of
`f(x)=(13)x`

B.(−2, 9)

x = -2

f(x)=9

Substitute the points in graph

`f(x)=(13)x`

`9=(13(-2))`

`-13\\eq -26`

Since LHs≠RHS

So, (−2, 9) is not on the graph of
`f(x)=(13)x`

C.(3, 27)

x = 3

f(x)=27

Substitute the points in graph

`f(x)=(13)x`

`27=(13(3))`

`27\\eq 39`

Since LHs≠RHS

So, (3, 27) is not on the graph of
`f(x)=(13)x`

D.(0,1)

x = 0

f(x)=1

Substitute the points in graph

`f(x)=(13)x`

`1=(13(0))`

`1\\eq 0`

Since LHs≠RHS

So, (0,1) is not on the graph of
`f(x)=(13)x`